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Finding the Fourth Proportional to 518.46, 714.39 and 378.06

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Solution

The fourth proportional to 518.46, 714.39 and 378.06 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 714.39 = 378.06 : x
  2. Step 2: Convert to fraction form
    518.46/714.39 = 378.06/x
  3. Step 3: Cross multiply
    518.46x = 714.39 × 378.06
  4. Step 4: Simplify right side
    518.46x = 270,082.28
  5. Step 5: Solve for x
    x = 270,082.28/518.46
  6. Step 6: Final answer
    x = 520.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.